Question

listed below are the playing times (in seconds) of songs that were popular at the time of this writing. find the (a) mean, (b) median, (c) mode, and (d) mid - range for the given sample data. is there one time that is very different from the others? 463 247 283 241 241 295 280 231 246 210 263 234 210 261 259 253 (a) the mean is seconds. (round to one decimal place as needed)

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points.

Step2: Sum the data - points

The data set is \(463,247,283,241,241,295,280,231,246,210,263,234,210,261,259,253\).
\(\sum_{i = 1}^{16}x_{i}=463 + 247+283+241+241+295+280+231+246+210+263+234+210+261+259+253\)
\(\sum_{i = 1}^{16}x_{i}=4116\).

Step3: Calculate the mean

Here \(n = 16\). So, \(\bar{x}=\frac{4116}{16}=257.25\).

Answer:

257.3